On axiomizing and extending the quasi-arithmetic mean
| dc.contributor.author | Hansen, Maurice | |
| dc.date.accessioned | 2018-05-29T08:46:48Z | |
| dc.date.available | 2018-05-29T08:46:48Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | Quasi-arithmetic means contain many other mean value concepts such as the arithmetic, the geometric or the harmonic mean as special cases. Treating quasi-arithmetic means as sequences of mappings from I^n into I (for some real interval I) this paper shows that under mild additional conditions this mapping is uniquely determined by its values on I^2. This extends a well-known result by Huntington [4] where this claim is proven only for special cases. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/36880 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-18879 | |
| dc.language.iso | en | de |
| dc.relation.ispartofseries | Discussion Paper / SFB823;12/2018 | en |
| dc.subject | quasi-arithmetic mean | en |
| dc.subject | strong decomposability | en |
| dc.subject.ddc | 310 | |
| dc.subject.ddc | 330 | |
| dc.subject.ddc | 620 | |
| dc.subject.rswk | Mittelwert | de |
| dc.title | On axiomizing and extending the quasi-arithmetic mean | en |
| dc.type | Text | de |
| dc.type.publicationtype | workingPaper | de |
| dcterms.accessRights | open access | |
| eldorado.secondarypublication | false | de |